{"id":"https://openalex.org/W2028426878","doi":"https://doi.org/10.1080/00207160304667","title":"A Study On Computation Of Component Centers In The Degree- n Bifurcation Set","display_name":"A Study On Computation Of Component Centers In The Degree- n Bifurcation Set","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W2028426878","doi":"https://doi.org/10.1080/00207160304667","mag":"2028426878"},"language":"en","primary_location":{"id":"doi:10.1080/00207160304667","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160304667","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022629055","display_name":"Young Hee Geum","orcid":"https://orcid.org/0000-0002-1618-7135"},"institutions":[{"id":"https://openalex.org/I89015989","display_name":"Dankook University","ror":"https://ror.org/058pdbn81","country_code":"KR","type":"education","lineage":["https://openalex.org/I89015989"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young Hee Geum","raw_affiliation_strings":["Department of Mathematics , Dankook University , Cheonan City, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Dankook University , Cheonan City, Korea","institution_ids":["https://openalex.org/I89015989"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051804871","display_name":"Young Ik Kim","orcid":"https://orcid.org/0000-0003-1572-5218"},"institutions":[{"id":"https://openalex.org/I89015989","display_name":"Dankook University","ror":"https://ror.org/058pdbn81","country_code":"KR","type":"education","lineage":["https://openalex.org/I89015989"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young Ik Kim","raw_affiliation_strings":["Department of Mathematics , Dankook University , Cheonan City, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Dankook University , Cheonan City, Korea","institution_ids":["https://openalex.org/I89015989"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8679,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73286672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"2","first_page":"223","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9628000259399414,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9510999917984009,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8207131624221802},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7982628345489502},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6551520228385925},{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.6207217574119568},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6165140271186829},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5925853252410889},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5468104481697083},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5335529446601868},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4371018409729004},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.43304935097694397},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4116376042366028},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35248079895973206},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33145672082901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23571965098381042},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.125270277261734},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09534814953804016}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8207131624221802},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7982628345489502},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6551520228385925},{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.6207217574119568},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6165140271186829},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5925853252410889},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5468104481697083},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5335529446601868},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4371018409729004},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.43304935097694397},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4116376042366028},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35248079895973206},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33145672082901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23571965098381042},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.125270277261734},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09534814953804016},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160304667","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160304667","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W46867221","https://openalex.org/W1482997031","https://openalex.org/W1501171239","https://openalex.org/W1530156516","https://openalex.org/W1964262399","https://openalex.org/W1979585884","https://openalex.org/W1979684610","https://openalex.org/W2025124337","https://openalex.org/W2056515188","https://openalex.org/W2798922842","https://openalex.org/W3037638241","https://openalex.org/W3138265894","https://openalex.org/W4236167420","https://openalex.org/W4298279872"],"related_works":["https://openalex.org/W3205339240","https://openalex.org/W1485361582","https://openalex.org/W1995721114","https://openalex.org/W2388578968","https://openalex.org/W2025580098","https://openalex.org/W2039390386","https://openalex.org/W168450691","https://openalex.org/W2506398906","https://openalex.org/W2964180126","https://openalex.org/W2964278158"],"abstract_inverted_index":{"The":[0,26,57],"governing":[1],"equation":[2,27,48],"locating":[3],"component":[4],"centers":[5],"in":[6],"the":[7,46,50,91],"degree-":[8],"n":[9,79],"bifurcation":[10],"set":[11],"is":[12,28,60],"a":[13,16,36,66,84],"polynomial":[14],"with":[15,52,62],"very":[17],"high":[18],"degree":[19,33],"and":[20,82,96],"its":[21,32],"root-finding":[22],"lacks":[23],"numerical":[24,58],"accuracy.":[25],"transformed":[29,47],"to":[30,45],"have":[31],"reduced":[34],"by":[35,94],"factor":[37],"(n":[38],"-":[39],"1)":[40],".":[41],"Newton's":[42],"method":[43],"applied":[44],"improves":[49],"accuracy":[51],"properly":[53],"chosen":[54],"initial":[55],"values.":[56],"implementation":[59],"done":[61],"Maple":[63],"V":[64],"using":[65],"large":[67],"number":[68],"of":[69],"computational":[70],"precision":[71],"digits.":[72],"Many":[73],"cases":[74],"are":[75],"studied":[76],"for":[77],"2\\leq":[78],"\\leq":[80],"25":[81],"show":[83],"remarkably":[85],"improved":[86],"computation.":[87],"Our":[88],"study":[89],"extends":[90],"results":[92],"given":[93],"Peitgen":[95],"Richter":[97],"[11].":[98]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
